Lagrangian submanifolds of Adjoint semisimple orbits given by real forms
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866911376341991424 |
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| author | Baez, Jhoan Martin, Luiz A. B. San |
| author_facet | Baez, Jhoan Martin, Luiz A. B. San |
| contents | We found some Lagrangian submanifolds of the adjoint semisimple orbit in two cases. For the first, the compact case, also known as the Generalized flag manifolds, we prove that the real flags can be seen as infinitesimally tight Lagrangian submanifolds with respect to the KKS symplectic form and we give a complete classification. And for the second, the complex case, we prove that the orbits of real forms are Lagrangian submanifolds with respect to the Hermitian symplectic form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_02422 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Lagrangian submanifolds of Adjoint semisimple orbits given by real forms Baez, Jhoan Martin, Luiz A. B. San Symplectic Geometry Differential Geometry 14M15, 22F30, 53D12 We found some Lagrangian submanifolds of the adjoint semisimple orbit in two cases. For the first, the compact case, also known as the Generalized flag manifolds, we prove that the real flags can be seen as infinitesimally tight Lagrangian submanifolds with respect to the KKS symplectic form and we give a complete classification. And for the second, the complex case, we prove that the orbits of real forms are Lagrangian submanifolds with respect to the Hermitian symplectic form. |
| title | Lagrangian submanifolds of Adjoint semisimple orbits given by real forms |
| topic | Symplectic Geometry Differential Geometry 14M15, 22F30, 53D12 |
| url | https://arxiv.org/abs/2010.02422 |